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Finding the Fourth Proportional to 5,896.52, 8,844.42 and 2,433.68

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Solution

The fourth proportional to 5,896.52, 8,844.42 and 2,433.68 is: 3,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.52 : 8,844.42 = 2,433.68 : x
  2. Step 2: Convert to fraction form
    5,896.52/8,844.42 = 2,433.68/x
  3. Step 3: Cross multiply
    5,896.52x = 8,844.42 × 2,433.68
  4. Step 4: Simplify right side
    5,896.52x = 21,524,488.07
  5. Step 5: Solve for x
    x = 21,524,488.07/5,896.52
  6. Step 6: Final answer
    x = 3,650.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.